Research on mathematics education has shown that learners' actions can influence how they think and vice versa. Much of this work has been rooted in the use of manipulatives, gestures, and body movements. Our article dissects the mechanisms that underscore the impact of embodied activities and applies this lens to explore how to harness the affordances of new technology to enhance mathematical ...

Ricci scalar is the key ingredient of non-Newtonian theory of gravity, where space-time geometry has a crucial role. Normally, it is supposed to be a geometrical field, but interestingly it also behaves like a physical field. Thus it plays dual role in the arena of gravitation. This article is an overview of the work related to dual roles of the Ricci scalar. A scalar is a mathematical concept ...

Strengthening institutions in spot and derivative markets for commodities is a necessary ingredient of the liberalisation process in agriculture, and can impact upon the lives of millions. In this paper, we describe the existing market design prevalent on both the spot and the futures markets. We show some evidence on the role played by the nascent futures markets in price discovery. We documen...

Fixed mobile convergence (FMC) will be one of the strongest trends in telecommunications in the near future. Given the choice, most consumers would want to use a single handset yet do not want to pay the premium when at home or in the office. Even though seamless network integration will still take some time to become reality, there are many convergence opportunities that are currently being ex...

APRIL 2002 Tools for Representing Fractions This article discusses fraction models. The terms representation and model are sometimes used almost interchangeably, but the two terms are not synonymous. For example, we use a model to represent a mathematical idea. The reason for this ambiguity is that both representation and model have several different meanings and share some meanings. A model ca...

FMC supports science based regulation, using a comprehensive risk assessment approach to ensure our products can be used without causing unreasonable harm to either human health or the environment. FMC appreciates the opportunity to provide comment on the California Office of Environmental Health Hazard Assessment's (OEHHA} posting dated September 9, 2016, of the Prioritization 2016: Chemicals ...

A stellarator is a toroidal plasma confinement concept that uses effects that arise in the absence of toroidal symmetry to maintain the magnetic configuration without the need for current drive. The largest magnetic fusion machines under construction are stellarators, and the plasma parameters achieved in stellarators are second only to those in tokamaks. Stellarators are poised for rapid progr...

In order to improve the advantages and the reliability of the second derivative method in tracking the position of extrema from experimental curves, we develop a novel analysis method based on the mathematical concept of curvature. We derive the formulas for the curvature in one and two dimensions and demonstrate their applicability to simulated and experimental angle-resolved photoemission spe...

FMC (Fixed Mobile Convergence) is a key concept of NGN (Next generation Network) and KDDI announced the Ultra 3G concept based on allIP network configuration, 3 years ago. Now, the Ultra 3G concept has evolved toward FMBC (Fixed Mobile Broadcast Convergence). This talk introduces how KDDI has been swiftly and reliably developing all-IP based networks and FMBC services.

The topic of diversity is an interesting subject, both as a purely mathematical concept and also for its applications to important real-life situations. Unfortunately, although the meaning of diversity seems intuitively clear, no precise mathematical definition exists. In this paper, we adopt an axiomatic approach to the problem, and attempt to produce a satisfactory measure.